{ "cells": [ { "cell_type": "markdown", "id": "saving-secretary", "metadata": {}, "source": [ "# [Linked List Python](https://github.com/dashidhy/algorithm-pattern-python/blob/master/data_structure/linked_list.md)" ] }, { "cell_type": "code", "execution_count": 2, "id": "adjacent-rotation", "metadata": {}, "outputs": [ { "data": { "text/html": [ "
" ], "text/plain": [ "" ] }, "execution_count": 2, "metadata": {}, "output_type": "execute_result" } ], "source": [ "import IPython; IPython.display.HTML('''
''')" ] }, { "cell_type": "code", "execution_count": 1, "id": "interior-antarctica", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "[1, 2, 3]\n", "[1, 2, 3]\n" ] } ], "source": [ "class ListNode:\n", " def __init__(self, val=0, next=None):\n", " self.val = val\n", " self.next = next\n", " \n", " def __repr__(self):\n", " cur = self\n", " vals = []\n", " while cur:\n", " vals.append(cur.val)\n", " cur = cur.next\n", " return str(vals)\n", " \n", "class List:\n", " def __init__(self, vals):\n", " if not vals:\n", " raise ValueError('Must initialize List with a non-empty array. ')\n", " cur = self.head = ListNode(vals[0])\n", " for val in vals[1:]:\n", " cur.next = ListNode(val)\n", " cur = cur.next\n", " \n", " def __repr__(self):\n", " return str(self.head)\n", " \n", "print(List([1, 2, 3]).head)\n", "print(List([1, 2, 3]))" ] }, { "attachments": { "73ab9c6f-60f0-4b2c-a2cb-d96feb33b232.png": { "image/png": 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" } }, "cell_type": "markdown", "id": "abroad-saskatchewan", "metadata": {}, "source": [ "## [83. Remove Duplicates from Sorted List](https://leetcode.com/problems/remove-duplicates-from-sorted-list/)\n", "\n", "Easy\n", "\n", "Given the head of a sorted linked list, delete all duplicates such that each element appears only once. Return the linked list sorted as well.\n", "\n", "Example 1:\n", "\n", "![image83.png](attachment:73ab9c6f-60f0-4b2c-a2cb-d96feb33b232.png)\n", "\n", " Input: head = [1,1,2]\n", " Output: [1,2]\n", " \n", "Constraints:\n", "\n", " The number of nodes in the list is in the range [0, 300].\n", " -100 <= Node.val <= 100\n", " The list is guaranteed to be sorted in ascending order." ] }, { "cell_type": "code", "execution_count": 23, "id": "cultural-publisher", "metadata": {}, "outputs": [ { "data": { "text/plain": [ "[1, 2]" ] }, "execution_count": 23, "metadata": {}, "output_type": "execute_result" } ], "source": [ "def deleteDuplicates(head):\n", " cur = head\n", " while cur and cur.next:\n", " if cur.val == cur.next.val:\n", " cur.next = cur.next.next\n", " else:\n", " cur = cur.next\n", " return head\n", "\n", "lst = List([1, 1, 2])\n", "deleteDuplicates(lst.head)" ] }, { "attachments": { "fb400662-caaf-466f-a931-b334f185d493.png": { "image/png": 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" } }, "cell_type": "markdown", "id": "played-button", "metadata": {}, "source": [ "## [82. Remove Duplicates from Sorted List II](https://leetcode.com/problems/remove-duplicates-from-sorted-list-ii/)\n", "\n", "Medium\n", "\n", "Given the head of a sorted linked list, delete all nodes that have duplicate numbers, leaving only distinct numbers from the original list. Return the linked list sorted as well.\n", "\n", "Example 1:\n", "\n", "![image82.png](attachment:fb400662-caaf-466f-a931-b334f185d493.png)\n", "\n", " Input: head = [1,2,3,3,4,4,5]\n", " Output: [1,2,5]\n", "\n", "Constraints:\n", "\n", " The number of nodes in the list is in the range [0, 300].\n", " -100 <= Node.val <= 100\n", " The list is guaranteed to be sorted in ascending order." ] }, { "cell_type": "code", "execution_count": 7, "id": "published-cricket", "metadata": {}, "outputs": [ { "data": { "text/plain": [ "[1, 2, 5]" ] }, "execution_count": 7, "metadata": {}, "output_type": "execute_result" } ], "source": [ "# head 有可能被砍掉,所以要用一個 dummy node hold 著整個 list。\n", "# 裡層 while 條件要放 cur 而不是 cur.next 不然 [1, 1] 不會過\n", "\n", "def deleteDuplicates(head):\n", " cur = head\n", " dummy = prev = ListNode(next=head)\n", "\n", " while cur and cur.next:\n", " if cur.val == cur.next.val:\n", " cur_val = cur.val\n", " while cur and cur.val == cur_val:\n", " cur = cur.next\n", " prev.next = cur\n", " else:\n", " prev = cur\n", " cur = cur.next\n", "\n", " return dummy.next\n", "\n", "lst = List([1, 2, 3, 3, 4, 4, 5])\n", "deleteDuplicates(lst.head)" ] }, { "attachments": { "ac027f18-9483-4e10-b453-ca589fc5df4a.png": { "image/png": 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" } }, "cell_type": "markdown", "id": "human-compound", "metadata": {}, "source": [ "## [206. Reverse Linked List](https://leetcode.com/problems/reverse-linked-list/)\n", "\n", "Easy\n", "\n", "Given the head of a singly linked list, reverse the list, and return the reversed list.\n", "\n", "Example 1:\n", "\n", "![image206.png](attachment:ac027f18-9483-4e10-b453-ca589fc5df4a.png)\n", "\n", " Input: head = [1,2,3,4,5]\n", " Output: [5,4,3,2,1]\n", "\n", "Constraints:\n", "\n", " The number of nodes in the list is the range [0, 5000].\n", " -5000 <= Node.val <= 5000\n" ] }, { "cell_type": "code", "execution_count": 8, "id": "material-nerve", "metadata": {}, "outputs": [ { "data": { "text/plain": [ "[5, 4, 3, 2, 1]" ] }, "execution_count": 8, "metadata": {}, "output_type": "execute_result" } ], "source": [ "# Hannah's solution:不改指標而是倒著長一個新的 list\n", "# 實測比改指標用到更多 memory\n", "\n", "def reverseList(head):\n", " res = None\n", " while head:\n", " res = ListNode(val=head.val, next=res)\n", " head = head.next\n", " return res\n", "\n", "lst = List([1, 2, 3, 4, 5])\n", "reverseList(lst.head)" ] }, { "cell_type": "code", "execution_count": 2, "id": "sustainable-maldives", "metadata": {}, "outputs": [ { "data": { "text/plain": [ "[5, 4, 3, 2, 1]" ] }, "execution_count": 2, "metadata": {}, "output_type": "execute_result" } ], "source": [ "# 改指標;迴圈裡用 tmp 寫比較直觀 readable\n", "# 雖然也可以用 tuple unpacking 寫成 cur.next, prev, cur = prev, cur, cur.next\n", "\n", "def reverseList(head):\n", " prev = None\n", " cur = head\n", " while cur:\n", " tmp = cur.next\n", " cur.next = prev\n", " prev = cur\n", " cur = tmp\n", " \n", " return prev\n", "\n", "lst = List([1, 2, 3, 4, 5])\n", "reverseList(lst.head)" ] }, { "cell_type": "code", "execution_count": 11, "id": "veterinary-acceptance", "metadata": {}, "outputs": [ { "data": { "text/plain": [ "[5, 4, 3, 2, 1]" ] }, "execution_count": 11, "metadata": {}, "output_type": "execute_result" } ], "source": [ "# recursive solution from the repo\n", "# 遞迴呼叫完成時的狀態是 1 -> 2 <- 3 <- 4 <- 5,head 是 1\n", "\n", "def reverseList(head):\n", " if head is None or head.next is None:\n", " return head\n", "\n", " reverse = reverseList(head.next)\n", " head.next.next = head\n", " head.next = None\n", " \n", " return reverse\n", "\n", "lst = List([1, 2, 3, 4, 5])\n", "reverseList(lst.head)" ] }, { "attachments": { "b98211dd-33c5-4c39-8f12-0ce6a1a7157f.png": { "image/png": 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" } }, "cell_type": "markdown", "id": "dominican-drinking", "metadata": {}, "source": [ "## [92. Reverse Linked List II](https://leetcode.com/problems/reverse-linked-list-ii/)\n", "\n", "Medium\n", "\n", "Given the head of a singly linked list and two integers left and right where left <= right, reverse the nodes of the list from position left to position right, and return the reversed list.\n", "\n", "Example 1:\n", "\n", "![image92.png](attachment:b98211dd-33c5-4c39-8f12-0ce6a1a7157f.png)\n", "\n", " Input: head = [1,2,3,4,5], left = 2, right = 4\n", " Output: [1,4,3,2,5]\n", "\n", "Constraints:\n", "\n", " The number of nodes in the list is n.\n", " 1 <= n <= 500\n", " -500 <= Node.val <= 500\n", " 1 <= left <= right <= n\n", " \n", "Follow up: Could you do it in one pass?" ] }, { "cell_type": "code", "execution_count": 12, "id": "periodic-glory", "metadata": {}, "outputs": [ { "data": { "text/plain": [ "[1, 4, 3, 2, 5]" ] }, "execution_count": 12, "metadata": {}, "output_type": "execute_result" } ], "source": [ "# Hannah's method:移到 left 之前然後開始倒著長一個新的 list named reverse,最後再接起來\n", "# 為了要接起來要先保留 left 之前的 node(reverse_l)和 reverse 的最後一個 node(reverse_r)\n", "# left 有可能是 1 所以需要用 dummy node hold 著\n", "\n", "def reverseBetween(head, left, right):\n", " cur = dummy = ListNode(next=head)\n", " for _ in range(left-1):\n", " cur = cur.next\n", "\n", " reverse_l = cur\n", " cur = cur.next\n", "\n", " reverse_r = reverse = ListNode(val=cur.val, next=None)\n", " cur = cur.next\n", " \n", " for _ in range(right-left):\n", " reverse = ListNode(val=cur.val, next=reverse)\n", " cur = cur.next\n", "\n", " reverse_l.next = reverse\n", " reverse_r.next = cur\n", "\n", " return dummy.next\n", "\n", "lst = List([1, 2, 3, 4, 5])\n", "reverseBetween(lst.head, left=2, right=4)" ] }, { "cell_type": "code", "execution_count": 13, "id": "agricultural-infrared", "metadata": {}, "outputs": [ { "data": { "text/plain": [ "[1, 4, 3, 2, 5]" ] }, "execution_count": 13, "metadata": {}, "output_type": "execute_result" } ], "source": [ "# 改指標\n", "\n", "def reverseBetween(head, left, right):\n", " prev = dummy = ListNode(next=head)\n", " cur = head\n", " for _ in range(left-1):\n", " prev, cur = cur, cur.next\n", "\n", " reverse_l = prev\n", " reverse_r = cur\n", " for _ in range(right-left+1):\n", " tmp = cur.next\n", " cur.next = prev\n", " prev = cur\n", " cur = tmp\n", "\n", " reverse_l.next = prev\n", " reverse_r.next = cur\n", "\n", " return dummy.next\n", "\n", "lst = List([1, 2, 3, 4, 5])\n", "reverseBetween(lst.head, left=2, right=4)" ] }, { "attachments": { "c1ab0593-1a64-4717-b4fb-7f799988bd6b.png": { "image/png": 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" } }, "cell_type": "markdown", "id": "greatest-polyester", "metadata": {}, "source": [ "## [21. Merge Two Sorted Lists](https://leetcode.com/problems/merge-two-sorted-lists/)\n", "\n", "Easy\n", "\n", "Merge two sorted linked lists and return it as a sorted list. The list should be made by splicing together the nodes of the first two lists. \n", "\n", "Example 1:\n", "\n", "![image21.png](attachment:c1ab0593-1a64-4717-b4fb-7f799988bd6b.png)\n", "\n", " Input: l1 = [1,2,4], l2 = [1,3,4]\n", " Output: [1,1,2,3,4,4]\n", "\n", "Constraints:\n", "\n", " The number of nodes in both lists is in the range [0, 50].\n", " -100 <= Node.val <= 100\n", " Both l1 and l2 are sorted in non-decreasing order." ] }, { "cell_type": "code", "execution_count": 15, "id": "confident-finder", "metadata": {}, "outputs": [ { "data": { "text/plain": [ "[1, 1, 2, 3, 4, 4]" ] }, "execution_count": 15, "metadata": {}, "output_type": "execute_result" } ], "source": [ "# 有可能 l1 l2 都是 empty 所以要用 dummy node\n", "\n", "def mergeTwoLists(l1, l2):\n", " dummy = cur = ListNode()\n", " while l1 and l2:\n", " if l1.val < l2.val:\n", " cur.next = l1\n", " l1 = l1.next\n", " else:\n", " cur.next = l2\n", " l2 = l2.next\n", "\n", " cur = cur.next\n", "\n", " if not l1:\n", " cur.next = l2\n", " if not l2:\n", " cur.next = l1\n", "\n", " return dummy.next\n", "\n", "\n", "lst1 = List([1, 2, 4])\n", "lst2 = List([1, 3, 4])\n", "mergeTwoLists(lst1.head, lst2.head)" ] }, { "attachments": { "2096db1b-71d4-4355-9146-0f491890a847.png": { "image/png": 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" } }, "cell_type": "markdown", "id": "atmospheric-emission", "metadata": {}, "source": [ "## [86. Partition List](https://leetcode.com/problems/partition-list/)\n", "\n", "Medium\n", "\n", "Given the head of a linked list and a value x, partition it such that all nodes less than x come before nodes greater than or equal to x.\n", "\n", "You should preserve the original relative order of the nodes in each of the two partitions.\n", "\n", "Example 1:\n", "\n", "![image86.png](attachment:2096db1b-71d4-4355-9146-0f491890a847.png)\n", "\n", " Input: head = [1,4,3,2,5,2], x = 3\n", " Output: [1,2,2,4,3,5]\n", "\n", "Constraints:\n", "\n", " The number of nodes in the list is in the range [0, 200].\n", " -100 <= Node.val <= 100\n", " -200 <= x <= 200" ] }, { "cell_type": "code", "execution_count": 17, "id": "surprised-amplifier", "metadata": {}, "outputs": [ { "data": { "text/plain": [ "[1, 2, 2, 4, 3, 5]" ] }, "execution_count": 17, "metadata": {}, "output_type": "execute_result" } ], "source": [ "# 建兩個 list:small 和 large 最後再接起來\n", "# 要記得切斷 large 的尾巴不然 list 會有 cycle\n", "\n", "def partition(head, x):\n", " small_cur = small_dummy = ListNode()\n", " large_cur = large_dummy = ListNode()\n", " cur = head\n", " while cur:\n", " if cur.val < x:\n", " small_cur.next = cur\n", " small_cur = small_cur.next\n", " else:\n", " large_cur.next = cur\n", " large_cur = large_cur.next\n", "\n", " cur = cur.next\n", "\n", " large_cur.next = None\n", " small_cur.next = large_dummy.next\n", "\n", " return small_dummy.next\n", "\n", "lst = List([1, 4, 3, 2, 5, 2])\n", "partition(lst.head, x=3)" ] }, { "attachments": { "a4482a69-a6d2-43c6-8a27-69717ff63144.png": { "image/png": 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" } }, "cell_type": "markdown", "id": "fifteen-jason", "metadata": {}, "source": [ "## [148. Sort List](https://leetcode.com/problems/sort-list/)\n", "\n", "Medium\n", "\n", "Given the head of a linked list, return the list after sorting it in ascending order.\n", "\n", "Follow up: Can you sort the linked list in O(n logn) time and O(1) memory (i.e. constant space)?\n", "\n", "Example 1:\n", "\n", "![image148.png](attachment:a4482a69-a6d2-43c6-8a27-69717ff63144.png)\n", "\n", " Input: head = [4,2,1,3]\n", " Output: [1,2,3,4] \n", "\n", "Constraints:\n", "\n", " The number of nodes in the list is in the range [0, 5 * 10^4].\n", " -10^5 <= Node.val <= 10^5" ] }, { "cell_type": "code", "execution_count": 18, "id": "national-shopping", "metadata": {}, "outputs": [ { "data": { "text/plain": [ "[1, 2, 3, 4]" ] }, "execution_count": 18, "metadata": {}, "output_type": "execute_result" } ], "source": [ "# Merge Sort,最下面的 mergeTwoLists 是 21 的答案\n", "# 丟進遞迴之前要記得砍斷尾巴\n", "# LeetCode 上比較快的作法都是作弊:先把值抄進 array,排序完再重新造一個 list 回傳\n", "\n", "def sortList(head):\n", " length = 0\n", " cur = head\n", " while cur:\n", " cur = cur.next\n", " length += 1\n", "\n", " return mergeSort(head, length)\n", "\n", "def mergeSort(head, n): \n", " if n < 2:\n", " return head\n", "\n", " prev = dummy = ListNode(next=head) \n", " cur = head\n", " for _ in range(n//2):\n", " prev, cur = cur, cur.next\n", " prev.next = None\n", "\n", " l1 = mergeSort(dummy.next, n//2)\n", " l2 = mergeSort(cur, n-n//2)\n", "\n", " return mergeTwoLists(l1, l2)\n", "\n", "lst = List([4, 2, 1, 3])\n", "sortList(lst.head)" ] }, { "attachments": { "f09f0a80-017a-4939-b45d-77f910701660.png": { "image/png": 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" } }, "cell_type": "markdown", "id": "alert-present", "metadata": {}, "source": [ "## [143. Reorder List](https://leetcode.com/problems/reorder-list/)\n", "\n", "Medium\n", "\n", "You are given the head of a singly linked-list. The list can be represented as:\n", "\n", " L0 → L1 → … → Ln - 1 → Ln\n", "\n", "Reorder the list to be on the following form:\n", "\n", " L0 → Ln → L1 → Ln - 1 → L2 → Ln - 2 → …\n", "\n", "You may not modify the values in the list's nodes. Only nodes themselves may be changed.\n", "\n", "\n", "Example 1:\n", "\n", "![image143.png](attachment:f09f0a80-017a-4939-b45d-77f910701660.png)\n", "\n", " Input: head = [1,2,3,4]\n", " Output: [1,4,2,3]\n", "\n", "Constraints:\n", "\n", " The number of nodes in the list is in the range [1, 5*10^4].\n", " 1 <= Node.val <= 1000" ] }, { "cell_type": "code", "execution_count": 19, "id": "ongoing-robertson", "metadata": {}, "outputs": [ { "data": { "text/plain": [ "[1, 4, 2, 3]" ] }, "execution_count": 19, "metadata": {}, "output_type": "execute_result" } ], "source": [ "# find middle -> reverse 2nd half -> merge\n", "# 這裡的 find middle 和 876 不一樣。876 是 [1, 2, 3, 4, 5] -> [1, 2] + [3, 4, 5],這裡變成 [1, 2, 3] + [4, 5]\n", "\n", "def reorderList(head):\n", " # find middle \n", " dummy = fast = head\n", " slow = head.next\n", " while fast and fast.next:\n", " fast = fast.next.next\n", " dummy = slow\n", " slow = slow.next\n", "\n", " # reverse 2nd half; Hannah 寫法\n", " cur2 = None\n", " while slow:\n", " cur2 = ListNode(val=slow.val, next=cur2)\n", " slow = slow.next\n", "\n", " # merge\n", " cur1 = head\n", " dummy.next = None # 把 1st half 的尾巴砍斷\n", " while cur1 and cur2:\n", " tmp1 = cur1.next\n", " tmp2 = cur2.next\n", " cur1.next = cur2\n", " cur2.next = tmp1\n", " cur1 = tmp1\n", " cur2 = tmp2\n", "\n", " return head\n", "\n", "lst = List([1, 2, 3, 4])\n", "reorderList(lst.head)" ] }, { "attachments": { "090ae9aa-7ccc-45f0-b67b-bf263be66a66.png": { "image/png": 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+vor7uI7S2Ww2+Pr6yh5DCvbiOC32wg4cp8UOHMVuHOfqbqxWK/r06ePSl24EAMTGxsJisbjsQT2BxWJBbGys7DGkYC+O02Iv7MBxWuzAUezGcS3RzR9//IGkpCTccccdLlnuBHD+nfFms7nZD+ZJzGYzsrKyZI8hBXtxnBZ7YQeO02IHjmI3jmvJbqZNm4Z+/frV+Vi1MwRw/o0ZoaGhLhnMU4SGhqK0tFT2GFKwF8dpsRd24DgtduAoduO4lu5m7ty56NWrV72LnDmi9qorYWFhKC4udslgWldcXIywsDDZY0jFXppOy72wg6bTcgeOYjdN565u5syZg/79+zt9Ou7aZSIzM5NPPTWR2WxGZmam7DGkYi9Np+Ve2EHTabkDR7GbpnNnN1OnTkVcXJxTX1u7TJSXl0On07lsKC3T6XQoLy+XPYZU7KXptNwLO2g6LXfgKHbTdO7uJiEhwamTY9W5uLzRaFTMZXqVKi8vz2NPhftP7KVxntALO2icJ3TgKHbTOBndnD17FmFhYVi/fr1DX1dnmSgqKuIJRRphMBhQVFQkewxFYC+N84Re2EHjPKEDR7Gbxsnq5r333oNOp3PoDZninzfExMQo5hLfSlNQUICYmBjZYygKe7HPk3phB/Z5UgeOYjf2ye5m5syZGDNmTJPvX2+ZsFgs0Ov1Lh1KK/R6PU+28g/sxT5P6oUd2OdJHTiK3dinhG6uv/76Js9Qb5kAzr+WlZOT49Kh1C4nJ4evedrBXurzxF7YQX2e2IGj2E19Sunm5ZdfxoABA5p03waXibKyMgQEBKCiosKlg6lVRUUFAgICUFZWJnsURWIvdXlqL+ygLk/twFHspi6ldRMTE4PCwsJG79fgMgEAGRkZSExMdOlQapWYmIiMjAzZYygae/mLJ/fCDv7iyR04it38RWndvPHGG016dsLuMgEAUVFRyM3NddlQapSbm4uoqCjZY6gCe2EvADsA2IEz2I1yuzEYDNi2bdtF73PRZaK0tBRCCFitVpcOphZWqxVCCI8/l35TsRf2ArADduAcdqPcbhYvXoykpKSL3ueiywQA5OfnQ6/Xe9z15202G/R6PfLz82WPoirshb0A7IAdOIfdKLOb6upqtGrVCmfOnLF7n0aXCQBIT093+nzdahUXF4f09HTZY6gSeyGAHZBz2I0yxcfHY/Xq1XaPN2mZAIAxY8bAZDK5ZCilM5lMDp2sg+pjLwSwA3IOu1Ge1atX495777V7vMnLBHD+88APPvhgs4dSsgcffFARn+/VAvZCADsg57AbZTlx4gSCgoLsHndomQDO/4K1ujGaTCbV/GLVgr0QwA7IOexGWSIjI7F79+4Gjzm8TADnn4KKi4vTzJtkbDYb4uLiVPFUkxqxFwLYATmH3ShHamoqnnnmmQaPObVMAOffJKPX61X/MR6r1Qq9Xq/4N7+oHXshgB2Qc9iNMqxduxYjR45s8JjTywRw/mM8QgjVnmgkNzcXQgjFfhxHa9gLAeyAnMNu5Nu/fz/Cw8MbPNasZQI4f6KRqKgoJCYmqubc6hUVFUhMTERUVJQiTxCiZeyFAHZAzmE3ctXU1KBVq1aoqampd6zZy8QFGRkZCAgIUPzV33JychAQEKCoc597IvZCADsg57AbeXr06IEjR47Uu91lywRw/upvRqMRer0eBQUFrnzoZisoKIBer4fRaFTM1dg8HXshgB2Qc9iNHLfeeiu2b99e73aXLhMXWCwWxMTEwGAwIC8vryW+RZPl5eXBYDAgJiYGFotF6izUMPZCADsg57Ab90pKSsK6devq3d4iy8QFRUVFMBqN0Ol0MJvNKC4ubslvV6u4uBhmsxk6nQ5GoxFFRUVu+b7UPOyFAHZAzmE37mE2m7Fo0aJ6t7foMnFBeXk5MjMzERYWhtDQUJjNZlgsFpd9bthms8FiscBsNiM0NBRhYWHIzMxEeXm5Sx6f3Iu9EMAOyDnspmXNmjULmZmZ9W53yzLxd6WlpcjKykJsbCx8fX1hMBhgMpmQnZ2NjRs3wmq1oqKiAjabrfYdozU1NbDZbKioqIDVasXGjRuRnZ0Nk8kEg8EAX19fxMbGIisrS/XvlqW62AsB7ICcw25cb+HChZg6dWq9292+TPzTnj17kJ+fj7S0NBiNRkRGRiIkJASBgYHw8vKCEAJeXl4IDAxESEgIIiMjYTQakZaWhvz8fOzZs0f2j0BuxF4IYAfkHHbTfIsXL0Zqamq926UvE0SuMnnyZHTr1k32GEREmrVs2TKkpKTUu53LBGlCUVERvL294efnJ3sUIiLNWrJkCSZPnlzvdi4TpHoHDhxA27ZtIYRA+/btsX//ftkjERFpUk5ODtLS0urdzmWCVO306dPo2rUrhBAQQqBdu3bSP2tORKRVc+fOxcyZM+vdzmWCVO3GG2+Ev79/7TIhhEBCQoLssYiINGnatGmYP39+vdu5TJBqjRw5Et7e3hBCoEOHDvDz84MQAldddZXs0YiINGnixIlYsWJFvdu5TJAqFRcXo3Xr1oiMjMTMmTMRERGB0NBQ+Pr6wsfHB1VVVbJHJCLSnHvuuQcbNmyodzuXCdKEwMBAVFVVYcyYMfD398dLL70keyQiIs2JiorChx9+WO92LhOkel988UWd80tERUXx5DJERC3gqquuwldffVXvdi4TpHpvvfUWhg0bJnsMIiJN+/PPPyGEqD31+N9xmSDVy83NxaRJk2SPQUSkaUePHsXVV1/d4DEuE6R6s2fPRkZGhuwxiIg07b///S8GDx7c4DEuE6R6aWlpyMnJkT0GEZGmLV68GA8//HCDx7hMkOo9/PDDWLZsmewxiIg07aGHHsKSJUsaPMZlglQvJSUFS5culT0GEZGm3XjjjXj33XcbPMZlglRv6tSpWLhwoewxiIg0LSgoyO4JAblMkOplZWVhxowZsscgItKsw4cP45prrrF7nMsEqd6qVatw//33yx6DiEiz1qxZg5EjR9o9zmWCVO+9997DTTfdJHsMIiLNSk5OxrPPPmv3OJcJUr0TJ07g0ksvlT0GEZFm3XDDDSgpKbF7nMsEaUK3bt1w5MgR2WMQEWnOiRMn0L59+4veh8sEacLo0aOxcuVK2WMQEWlOYWEh7r777oveh8sEacILL7yAUaNGyR6DiEhzxo8f3+i5fLhMkCYcP34cgYGBsscgItKc4OBglJeXX/Q+XCZIM4YMGYJXX31V9hhERJqxa9cu9O7du9H7cZkgzXjxxRdx1113yR6DiEgzpk6d2qSrMnOZIE3p2LEjDh06JHsMIiJN6N69O/bu3dvo/bhMkKZkZGQgOTlZ9hhERKq3fft2REZGNum+XCZIU06dOoU2bdo0+mYhIiK6uAkTJuCZZ55p0n25TJDmzJo1CyaTSfYYRESq9dNPP8HX1xc//PBDk+7PZYI0548//kDXrl2xfft22aMQEanS888/j9GjRzf5/lwmSJPWrVuHvn37yh6DiEiV9Ho9duzY0eT7c5kgzUpISMD//d//yR6DiEhVNmzYgIEDBzr0NVwmSLO+//57dOzYEdu2bZM9ChGRagwaNAiFhYUOfQ2XCdK0V199Fd27d8epU6dkj0JEpHhbt25Fr169HP46LhOkeU888QTi4uJkj0FEpHiDBg3C2rVrHf46LhPkEe699148+uijsscgIlKsV155Bf3793fqa7lMkEf47bffMGDAADz99NOyRyEiUiS9Xo/Nmzc79bVcJshjfPPNNwgNDcWyZctkj0JEpCjz589HfHy801/PZYI8yoEDB3DllVciLy9P9ihERIpw9OhReHt74/Dhw04/BpcJ8jiffvopunTpgtzcXNmjEBFJFx8fj7lz5zbrMbhMkEfat28funfv3uSL2BARadGKFSsQHR3d7MfhMkEe6+jRo+jduzdmzJghexQiIrf7/PPP4e/vj5KSkmY/FpcJ8mjV1dUYNmwY7r//ftmjEBG51aBBg1z27CyXCSIADzzwAG6++WYcO3ZM9ihERC0uLS0NI0eOdNnjcZkg+v/mzZuHTp06YevWrbJHISJqMfn5+YiIiMBPP/3kssfkMkH0N5s2bULHjh2RlZUlexQiIpd755134O/vj08++cSlj8tlgugfvv76a9x2220wGo34/vvvZY9DROQS+/fvh06nw4YNG1z+2FwmiOyYNWsWLrvsMocvxUtEpDTHjh1DaGgoli9f3iKPz2WC6CJ27NgBvV6PCRMm4MyZM7LHISJy2PHjx2EwGLBgwYIW+x5cJogace7cOTz22GPo0qULn6UgIlWpqKhA7969MWfOnBb9PlwmiJpo27Zt6N27NxITE/H111/LHoeI6KI+++wzhIWFueVqyVwmiBw0e/Zs+Pj4tOhThkREzbFr1y4EBwdj8eLFbvl+XCaInHDw4EGMGDECBoMBb775puxxiIhqFRYWonXr1li/fr3bvieXCaJmeO2119CzZ0+MGDECZWVlsschIg83e/ZsdO3aFR988IFbvy+XCSIXeOaZZ9ChQwekpKTw3BRE5HZVVVW49957MWzYMCl/B3GZIHKR6upqpKenw8vLCzNnznTpqWqJiOyxWCzo2rUrpk+fLm0GLhNELnb06FFMmjQJ7du3x9y5c/Hbb7/JHomINGrKlCkICQnBpk2bpM7BZYKohRw4cAAmkwk6nQ5ZWVn45ZdfZI9ERBphsVgQHh6OcePG4fTp07LH4TJB1NLKyspgMpnQvn17ZGRkoKqqSvZIRKRSFRUVMJlMuPbaa/H666/LHqcWlwkiNzl06BAeeugh+Pj44LHHHsOXX34peyQiUolz587hqaeego+PD5588kmcO3dO9kh1cJkgcrNvvvkG06ZNQ7t27TB27Fh8/PHHskciIgVbunQpQkJCMHbsWBw5ckT2OA3iMkEkyU8//YSFCxeiR48eGDx4MF577TXZIxGRgixduhTXXHMNjEYjPvzwQ9njXBSXCSIFWL9+PW655RZce+21WLBgAd9XQeShfvzxR8yZMwfBwcEYMWKE208+5SwuE0QKsnv3bowfPx5CCIwfPx47d+6UPRIRucFHH32EBx54AEIITJo0CZ9++qnskRzCZYJIgSorK5GdnY3w8HD069cPS5cuhc1mkz0WEbmQzWbD8uXLMWDAAFx33XWYN28eTp48KXssp3CZIFK4oqIijBo1Ct7e3hg3bhy2b98ueyQiaoYtW7YgKSkJrVq1wqhRo2CxWGSP1GxcJohU4uTJk8jJyUGfPn1w/fXXY/bs2SgvL5c9FhE1wY4dO5CSkoIrrrgCN998M5YuXYrKykrZY7kMlwkiFfr444/xyCOP4PLLL8egQYOQm5vLN20SKUxRURGSk5PRpUsX9O3bF08//TQ+//xz2WO1CC4TRCr3xhtv1L4Mcvfdd2PdunX4+eefZY9F5HEqKyuxdu1ajBo1CkFBQbjpppuwYMECHD58WPZoLY7LBJFG/Pzzz1izZg3uuusueHt749///jfWr1+Ps2fPyh6NSLM+/PBDzJo1C9HR0WjXrh3i4+ORn5+Pb7/9VvZobsVlgkiDqqursXLlStx1111o1aoVjEYjXnjhBZw4cUL2aESqtm/fPjz//PO4++670b59e0RGRmLatGnYtm2b7NGk4jJBpHFnzpxBQUEBEhMT0a5dO8TExGDBggXYv3+/7NGIFM9qteLZZ59FfHw8Lr/8clx//fWYNGkSCgsLcfz4cdnjKQaXCSIPs3XrVqSkpKB79+4IDQ1FamoqtmzZgt9++032aERSVVZWwmKx4Mknn8TgwYPRtm1b9OrVC8nJySgoKMCxY8dkj6hYXCaIPNjevXsxf/58xMbGonXr1hg6dCgWLFiATz75RPZoRC3q7Nmz+OCDD7Bo0SKMHj0a1157LTp06IChQ4fiySefhMViwalTp2SPqRpcJogIwPkLj23atAmpqamIiIjA5ZdfjoSEBCxfvhwHDx6UPR6R006ePIlt27YhOxb5DxsAAAW/SURBVDsbo0ePRnh4OPz9/REdHY3JkyfjxRdfxIEDB2SPqWpcJoioQceOHcPq1asxbtw49OjRA8HBwUhISMDixYtRWloqezyien755RdYrVa8+OKLmDJlCoYNG4bg4GBcdtlluPXWW2E2m7F69Wrs3btX9qiaw2WCiJrkq6++wpo1azBp0iT07NkTQUFBGDZsGDIyMrB161ZNnc2PlK2yshIffvghXnjhBUydOhXDhw9H9+7d4e/vjz59+mDs2LGYP38+tmzZwvc5uAmXCSJySmVlJTZv3oyZM2di8ODBCAoKwnXXXYekpCQsWrQIH3zwAS9ORk6rrq6G1WrFSy+9hDlz5uC+++5DVFQUdDoddDodoqKiYDKZMH/+fGzatEmzZ5ZUCy4TROQyBw4cwIsvvojJkycjKioK/v7+CAsLw8iRIzFv3jxs3boVFRUVssckBfjtt99w5MgRvP322/jPf/6D6dOnIyEhAX379oVOp0OHDh0QGRmJhIQEPPHEE1i1ahV27tyJH374Qfbo1AAuE0TUovbv34+1a9di6tSpGDp0KDp37gydToebb74ZycnJWLJkCd555x2PO2Og1n3//fcoKSnB66+/jmeffRZpaWm499570b9/f3Tq1Al+fn4IDQ3FkCFDMHHiRGRlZaGwsBAff/wxT66mQlwmiMjtTpw4gR07dmDJkiVITk7GoEGD0LlzZwQFBeFf//oXRo8ejYyMDKxduxa7d+/mv0YV5MSJEygrK0NRURFWrVqFrKwspKSk4J577kH//v1x5ZVXolWrVggODka/fv0wYsQIPPLII1i4cCFefvllfPTRR/juu+9k/xjkYlwmiEgxqqurUVxcjHXr1iEjIwNJSUkYMGAALr/8crRt2xY9e/bE8OHD8fDDD2P+/PlYv349du7cia+++oon3XKSzWbDl19+iZKSElgsFqxatQoLFizAlClTMHbsWAwdOhS9evVCp06d0KpVK1xxxRXo1asXhg0bBpPJhBkzZmDx4sV4/fXX8dFHH+HYsWP4448/ZP9Y5GZcJohIFc6cOYN9+/Zh8+bNWLJkCdLT0zFy5EjceOON6NatG3x8fNCxY0fccMMNGDp0KO677z6kp6dj4cKFWLNmDbZu3YqSkhIcPXoUp0+flv3juNz//vc/HDt2DHv37sW7776LDRs2ID8/H9nZ2Zg+fTomTpyI+Ph43HLLLdDr9QgODoavry+CgoLQvXt39O/fH8OHD4fJZMK0adNq/7sVFRXh008/xXfffcclgeziMkFEmnHy5Mnap+BXr15d+y/s++67D7fffjv69u2L7t27o0OHDmjdujV0Oh169OiByMhIDBo0CEajEWPHjkVycjLS09Mxa9YsLFy4EEuXLsXKlStRWFiIDRs2wGKx4J133sH777+P3bt3o6SkBKWlpSgrK8P+/ftx8OBBHDp0CIcOHcLBgwdx4MAB7N+/H3v37sUnn3yCkpIS7N69G++//z62bdsGi8WCDRs2oLCwEKtWrcLy5cvxzDPPYM6cOZg+fTpSU1Mxfvx4JCQk4Pbbb8eNN96IG264AV27dkWHDh0ghECHDh3QrVs3GAwGDBo0CCNGjMCECROQnp6OefPmYcWKFXjttdfw7rvvoqysDN9++y1+/fVX2b8y0gguE0TkkWpqalBZWYkvvvgCn3zyCXbs2IE33ngDa9euxfLly5GdnY3MzExMnToVKSkpGDduHEaNGoURI0Zg+PDhGDx4MGJiYhAdHY1+/fqhT58+6NWrF/R6PSIiIhAeHo7w8HBERESgZ8+e0Ov1MBgMiIyMRL9+/RAdHY2YmBgMGTIEw4cPx4gRIzBq1CiMGzcOycnJSEtLw5NPPol58+bh+eefx8qVK/HKK6/grbfewq5du7Bv3z58/fXXqK6uxrlz52T/5yQPx2WCiIiImoXLBBERETULlwkiIiJqFi4TRERE1Cz/DzwycrsN0pt/AAAAAElFTkSuQmCC" } }, "cell_type": "markdown", "id": "gorgeous-development", "metadata": {}, "source": [ "## [141. Linked List Cycle](https://leetcode.com/problems/linked-list-cycle/)\n", "\n", "Easy\n", "\n", "Given head, the head of a linked list, determine if the linked list has a cycle in it.\n", "\n", "There is a cycle in a linked list if there is some node in the list that can be reached again by continuously following the next pointer. Internally, pos is used to denote the index of the node that tail's next pointer is connected to. Note that pos is not passed as a parameter.\n", "\n", "Return true if there is a cycle in the linked list. Otherwise, return false.\n", "\n", "Example 1:\n", "\n", "![image141.png](attachment:090ae9aa-7ccc-45f0-b67b-bf263be66a66.png)\n", "\n", " Input: head = [3,2,0,-4], pos = 1\n", " Output: true\n", " Explanation: There is a cycle in the linked list, where the tail connects to the 1st node (0-indexed).\n", "\n", "Constraints:\n", "\n", " The number of the nodes in the list is in the range [0, 10^4].\n", " -10^5 <= Node.val <= 10^5\n", " pos is -1 or a valid index in the linked-list.\n", "\n", " \n", "Follow up: Can you solve it using O(1) (i.e. constant) memory?" ] }, { "cell_type": "code", "execution_count": null, "id": "similar-mother", "metadata": {}, "outputs": [], "source": [ "def hasCycle(head):\n", " fast = slow = head\n", " while fast and fast.next:\n", " fast = fast.next.next\n", " slow = slow.next\n", " if fast is slow: \n", " return True\n", " \n", " return False" ] }, { "attachments": { "e93c98e9-2e1d-466e-a506-7ba74f49506f.png": { "image/png": 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" } }, "cell_type": "markdown", "id": "ranging-salon", "metadata": {}, "source": [ "## [142. Linked List Cycle II](https://leetcode.com/problems/linked-list-cycle-ii/)\n", "\n", "Medium\n", "\n", "Given a linked list, return the node where the cycle begins. If there is no cycle, return null.\n", "\n", "There is a cycle in a linked list if there is some node in the list that can be reached again by continuously following the next pointer. Internally, pos is used to denote the index of the node that tail's next pointer is connected to. Note that pos is not passed as a parameter.\n", "\n", "Notice that you should not modify the linked list. \n", "\n", "Example 1:\n", "\n", "![image142.png](attachment:e93c98e9-2e1d-466e-a506-7ba74f49506f.png)\n", "\n", " Input: head = [3,2,0,-4], pos = 1\n", " Output: tail connects to node index 1\n", " Explanation: There is a cycle in the linked list, where tail connects to the second node.\n", "\n", "Constraints:\n", "\n", " The number of the nodes in the list is in the range [0, 10^4].\n", " -10^5 <= Node.val <= 10^5\n", " pos is -1 or a valid index in the linked-list.\n", "\n", "\n", "Follow up: Can you solve it using O(1) (i.e. constant) memory?" ] }, { "cell_type": "code", "execution_count": 1, "id": "entire-opportunity", "metadata": {}, "outputs": [], "source": [ "def detectCycle(head):\n", " fast = slow = head\n", " while fast and fast.next:\n", " fast = fast.next.next\n", " slow = slow.next\n", " if fast is slow: \n", " # 接下來四行應該要可以直接省略而回傳 slow,但這樣不會 accept\n", " slow = head\n", " while fast != slow:\n", " fast = fast.next\n", " slow = slow.next\n", " return slow " ] }, { "attachments": { "5e9c92c0-a39f-4af3-b7ad-1e49ff9143d1.png": { "image/png": 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" } }, "cell_type": "markdown", "id": "careful-graphic", "metadata": {}, "source": [ "## [234. Palindrome Linked List](https://leetcode.com/problems/palindrome-linked-list/)\n", "\n", "Easy\n", "\n", "Given the head of a singly linked list, return true if it is a palindrome.\n", "\n", "Example 1:\n", "\n", "![image234.png](attachment:5e9c92c0-a39f-4af3-b7ad-1e49ff9143d1.png)\n", "\n", " Input: head = [1,2,2,1]\n", " Output: true\n", "\n", "Constraints:\n", "\n", " The number of nodes in the list is in the range [1, 10^5].\n", " 0 <= Node.val <= 9\n", " \n", "Follow up: Could you do it in O(n) time and O(1) space?" ] }, { "cell_type": "code", "execution_count": 12, "id": "disciplinary-berry", "metadata": {}, "outputs": [ { "data": { "text/plain": [ "True" ] }, "execution_count": 12, "metadata": {}, "output_type": "execute_result" } ], "source": [ "# LeetCode 上最快解答但改用 tmp,一邊找中點一邊把 slow 跑遍的 node (倒著)放進 reverse 裡\n", "# 迴圈裡的 tmp 可以寫成 rev, slow, rev.next = slow, slow.next, rev\n", "# if fast 那段:如果 input list 長度是奇數例如 [1, 2, 3, 2, 1],我們需要 slow 是 [2, 1] 而不是 [3, 2, 1]\n", "\n", "def isPalindrome(head):\n", " slow = fast = head\n", " rev = None\n", " while fast and fast.next:\n", " fast = fast.next.next\n", " tmp = rev\n", " rev = slow\n", " slow = slow.next\n", " rev.next = tmp\n", " \n", " if fast:\n", " slow = slow.next\n", " while slow and rev and slow.val==rev.val:\n", " slow, rev = slow.next, rev.next\n", " return not rev\n", "\n", "lst = List([1, 2, 3, 4, 4, 3, 2, 1])\n", "isPalindrome(lst.head)" ] }, { "attachments": { "1beeee2e-5c49-4ff7-bf4e-52379b031ce2.png": { "image/png": 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} }, "cell_type": "markdown", "id": "fifty-treasure", "metadata": {}, "source": [ "## [138. Copy List with Random Pointer](https://leetcode.com/problems/copy-list-with-random-pointer/)\n", "\n", "Medium\n", "\n", "A linked list of length n is given such that each node contains an additional random pointer, which could point to any node in the list, or null.\n", "\n", "Construct a deep copy of the list. The deep copy should consist of exactly n brand new nodes, where each new node has its value set to the value of its corresponding original node. Both the next and random pointer of the new nodes should point to new nodes in the copied list such that the pointers in the original list and copied list represent the same list state. None of the pointers in the new list should point to nodes in the original list.\n", "\n", "For example, if there are two nodes X and Y in the original list, where X.random --> Y, then for the corresponding two nodes x and y in the copied list, x.random --> y.\n", "\n", "Return the head of the copied linked list.\n", "\n", "The linked list is represented in the input/output as a list of n nodes. Each node is represented as a pair of [val, random_index] where:\n", "\n", " val: an integer representing Node.val\n", " random_index: the index of the node (range from 0 to n-1) that the random pointer points to, or null if it does not point to any node.\n", "\n", "Your code will only be given the head of the original linked list.\n", "\n", "Example 1:\n", "\n", "![image138.png](attachment:1beeee2e-5c49-4ff7-bf4e-52379b031ce2.png)\n", "\n", " Input: head = [[7,null],[13,0],[11,4],[10,2],[1,0]]\n", " Output: [[7,null],[13,0],[11,4],[10,2],[1,0]]\n", "\n", "Constraints:\n", "\n", " 0 <= n <= 1000\n", " -10000 <= Node.val <= 10000\n", " Node.random is null or is pointing to some node in the linked list." ] }, { "cell_type": "code", "execution_count": 3, "id": "suffering-variance", "metadata": {}, "outputs": [], "source": [ "# LeetCode 上最快解答,用 defaultdict 的 key 存原來的 nodes,value 存對應的 copy\n", "# My Ugly Solutions 裡有用 id() 的做法\n", "\n", "from collections import defaultdict\n", "\n", "def copyRandomList(head):\n", " d = defaultdict(lambda: Node(0)) # store the nodes\n", " d[None] = None # if a node's next/random is None, \n", " cur = head\n", " \n", " while cur:\n", " d[cur].val = cur.val\n", " d[cur].next = d[cur.next]\n", " d[cur].random = d[cur.random]\n", " cur = cur.next\n", " \n", " return d[head]" ] }, { "cell_type": "markdown", "id": "czech-lewis", "metadata": {}, "source": [ "## [876. Middle of the Linked List](https://leetcode.com/problems/middle-of-the-linked-list/)\n", "\n", "Easy\n", "\n", "Given a non-empty, singly linked list with head node head, return a middle node of linked list.\n", "\n", "If there are two middle nodes, return the second middle node. \n", "\n", "Example 1:\n", "\n", " Input: [1,2,3,4,5]\n", " Output: Node 3 from this list (Serialization: [3,4,5])\n", " The returned node has value 3. (The judge's serialization of this node is [3,4,5]).\n", " Note that we returned a ListNode object ans, such that:\n", " ans.val = 3, ans.next.val = 4, ans.next.next.val = 5, and ans.next.next.next = NULL.\n", "\n", "Note:\n", "\n", " The number of nodes in the given list will be between 1 and 100.\n", "\n" ] }, { "cell_type": "code", "execution_count": 9, "id": "advanced-sharing", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "[3, 4, 5]\n", "[3, 4]\n" ] } ], "source": [ "def middleNode(head):\n", " fast = slow = head\n", " while fast and fast.next:\n", " slow = slow.next\n", " fast = fast.next.next\n", " return slow\n", "\n", "lst = List([1, 2, 3, 4, 5])\n", "print(middleNode(lst.head))\n", "\n", "lst = List([1, 2, 3, 4])\n", "print(middleNode(lst.head))" ] } ], "metadata": { "kernelspec": { "display_name": "Python 3 (ipykernel)", "language": "python", "name": "python3" }, "language_info": { "codemirror_mode": { "name": "ipython", "version": 3 }, "file_extension": ".py", "mimetype": "text/x-python", "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython3", "version": "3.12.3" } }, "nbformat": 4, "nbformat_minor": 5 }